Classical perturbation theory and resonances in some rigid body systems

DOI10.1134/S1560354717020034zbMath1370.70024MaRDI QIDQ2400443

I. Yu. Polekhin

Publication date: 1 September 2017

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsresonancesrigid bodyPoincaré methodsmall divisorsKirchhoff's equationsPoincaré sets

Mathematics Subject Classification ID

Perturbation methods for rigid body dynamics (70E20) Integrable cases of motion in rigid body dynamics (70E40) Motion of a rigid body with a fixed point (70E17)

Cites Work

• First integrals that are polynomial in momenta for a mechanical system on a two-dimensional torus
• Remarks on polynomial integrals of higher degrees for reversible systems with toral configuration space
• On polynomial integrals of a mechanical system on a two-dimensional torus
• ON THE INTEGRABILITY OF HAMILTONIAN SYSTEMS WITH TORAL POSITION SPACE
• Polynomial integrals of reversible mechanical systems with a two-dimensional torus as the configuration space
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